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Finding the Third Proportional to 488.95 and 695.04

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Solution

The third proportional to 488.95 and 695.04 is: 987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.95 : 695.04 = 695.04 : x
  2. Step 2: Convert to fraction form
    488.95/695.04 = 695.04/x
  3. Step 3: Cross multiply
    488.95x = 695.04 × 695.04
  4. Step 4: Simplify right side
    488.95x = 483,079.30
  5. Step 5: Solve for x
    x = 483,079.30/488.95
  6. Step 6: Final answer
    x = 987.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.